Operator valued analogues of multidimensional Bohr’s inequality

DOI10.4153/S0008439521001077MaRDI QIDQ5888928

Vasudevarao Allu, Himadri Halder

Publication date: 26 April 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.11713

zbMATH Keywords

homogeneous polynomialBohr radiuscomplete circular domainoperator valued analytic functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Spaces of bounded analytic functions of one complex variable (30H05) Power series, series of functions of several complex variables (32A05) Holomorphic functions of several complex variables (32A10)

Related Items (4)

Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ Bohr inequalities for certain classes of harmonic mappings ⋮ Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex

Cites Work

• Unnamed Item
• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• Bohr inequalities for free holomorphic functions on polyballs
• Remarks on the Bohr phenomenon
• Improved Bohr's inequality for shifted disks
• A logarithmic lower bound for multi-dimensional Bohr radii
• The Bohr Radius of a Banach Space
• ON BOHR'S INEQUALITY
• On Generalized Schwarz‐Pick Estimates
• Generalization of results about the Bohr radius for power series
• Bohr’s power series theorem in several variables
• Finite Blaschke Products and Their Connections
• Bohr’s inequality for uniform algebras
• Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
• Bohr property of bases in the space of entire functions and its generalizations
• Multidimensional analogues of Bohr’s theorem on power series
• Bohr phenomenon for operator-valued functions
• The Bohr phenomenon for analytic functions on shifted disks
• On the Bohr inequality with a fixed zero coefficient
• Multidimensional analogues of refined Bohr’s inequality
• A remark on Bohr's theorem and its generalizations
• Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables

This page was built for publication: Operator valued analogues of multidimensional Bohr’s inequality